2010Spring_mid1 - 3(18 points For the vector field(1 Find...

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EEL3470 Exam 1 Feb. 2, 2010 Open Book, Open Notes Name__________________________ 1. (15 points) There are four points P ( - 3,3,2), Q (4, - 3,6), G (2,4,5) and S (2,2, - 5) in Cartesian system. Find (1) R SP , R SQ and R SG (2) the area of triangle QGS (3) the volume of tetrahedral PQGS 2. (17 points) Evaluate the closed surface integral of the vector if the surface is the outer surface of the volume defined by .
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Unformatted text preview: 3. (18 points) For the vector field: (1) Find the analytical expression of divergence in spherical system and evaluate its value at the point () (2) Find the analytical expression of curl in spherical system and evaluate its value at the point with Cartesian coordinate (1,1,1). Answer: 1 (1) (2) (3) 2 3 (1) (2) MatLab Program (Optional for partial credits)...
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